Let's think this through even further. What if she takes the vaccine and becomes sterile. Or, paralyzed. Now she can never have the children, or probably a husband. So, so much for protecting her future husband.
It should be her choice. This is not a childhood disease like you alluded to.
I don't disagree about this SHOULD be her choice, but during the Clinton years, Immigration law was changed such that all immigrants are required to have the FDA recommended vaccinations. The HPV vaccine is an FDA recommended vaccine.
So, either she gets the vaccine, or she packs her bags and leaves the country. No one is above the law (unless you are Mexican, in which case anyone who questions your right to live anywhere or do anything is inherently a bigot).